120962400 has 144 divisors (see below), whose sum is σ = 424129104. Its totient is φ = 29767680.

The previous prime is 120962399. The next prime is 120962419. The reversal of 120962400 is 4269021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29262 + ... + 33138.

It is an arithmetic number, because the mean of its divisors is an integer number (2945341).

Almost surely, 2^120962400 is an apocalyptic number.

120962400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212064552).

120962400 is an abundant number, since it is smaller than the sum of its proper divisors (303166704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120962400 is a wasteful number, since it uses less digits than its factorization.

120962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120962400 is about 10998.2907762979. The cubic root of 120962400 is about 494.5575068167.

The spelling of 120962400 in words is "one hundred twenty million, nine hundred sixty-two thousand, four hundred".